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Q:

A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:

A) 650	B) 690
C) 698	D) 700

Answer & Explanation Answer: C) 698

Explanation:

S.I. for 1 year = Rs. (854 - 815) = Rs. 39.

S.I. for 3 years = Rs.(39 x 3) = Rs. 117.

Principal = Rs. (815 - 117) = Rs. 698

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Filed Under: Simple Interest
Exam Prep: GRE

Q:

A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The thickness of the bottom is:

A) 90 cm	B) 1 dm
C) 1 m	D) 1.1 cm

Answer & Explanation Answer: B) 1 dm

Explanation:

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Filed Under: Volume and Surface Area

Q:

In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:

A) 75 cubic meter	B) 750 cubic meter
C) 7500 cubic meter	D) 75000 cubic meter

Answer & Explanation Answer: B) 750 cubic meter

Explanation:

1 hectare = 10,000 Sq.m

So, Area = (1.5 x 10000) Sq.m

Depth = 5/100 m = 1/20 m

Therefore, Volume = Area X Depth = 15000 x (1/20)= 750 cu.m

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Filed Under: Volume and Surface Area

Q:

50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4 cu.m , then the rise in the water level in the tank will be:

A) 20 cm	B) 25 cm
C) 35 cm	D) 50 cm

Answer & Explanation Answer: B) 25 cm

Explanation:

Total volume of water displaced =(4 x 50) cu.m = 200 cu.m

Rise in water level = $(\frac{200}{40 \times 20})$ =0.25m = 25cm

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Filed Under: Volume and Surface Area

Q:

A right triangle with sides 3 cm, 4 cm and 5 cm is rotated the side of 3 cm to form a cone. The volume of the cone so formed is:

A) 12 pi cub.cm	B) 15 pi cub.cm
C) 16 pi cub.cm	D) 20 pi cub.cm

Answer & Explanation Answer: A) 12 pi cub.cm

Explanation:

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Q:

A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8m, the volume of the box (in m³) is:

A) 4830	B) 5120
C) 6420	D) 8960

Answer & Explanation Answer: B) 5120

Explanation:

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Filed Under: Volume and Surface Area

Q:

A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1cm when a man gets on it. The mass of the man is:

A) 12 kg	B) 60 kg
C) 72 kg	D) 96 kg

Answer & Explanation Answer: B) 60 kg

Explanation:

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Filed Under: Volume and Surface Area

Q:

A cistern 6m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:

A) 49 sq.m	B) 50 sq.m
C) 51 sq.m	D) 52 sq.m

Answer & Explanation Answer: A) 49 sq.m

Explanation:

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Filed Under: Volume and Surface Area

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